This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A056711 Plug g.f. for A000108 (minus the leading 1), 1/2*(1-(1-4*x)^(1/2))/x - 1, into cycle index for dihedral group D_3. 3
 0, 0, 0, 1, 2, 8, 28, 100, 358, 1309, 4772, 17556, 64782, 240090, 892662, 3329942, 12456782, 46725350, 175698056, 662193908, 2501118956, 9465771967, 35891640172, 136331485336, 518702002350, 1976588406300, 7543137149256, 28826327724850, 110304963059048 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 FORMULA Cycle index for D_3: 1/6*Z[1]^3+1/2*Z[1]*Z[2]+1/3*Z[3]. O.g.f.: 1/6*A(x)^3 + 1/2*A(x)*A(x^2) + 1/3*A(x^3), with A(x):=1/2*(1-(1-4*x)^(1/2))/x - 1 (see the name). For the cycle index of the dihedral group D_n see A212355 for the Harary-Palmer reference, the formula and a link. - Wolfdieter Lang, Jun 02 2012 CROSSREFS Cf. A000108, A058855, A046342. Column k=3 of A275431. Sequence in context: A277653 A066796 A104934 * A114590 A133592 A115967 Adjacent sequences:  A056708 A056709 A056710 * A056712 A056713 A056714 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 19 2001 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 00:16 EST 2019. Contains 329812 sequences. (Running on oeis4.)